Original description as Chromis fenestrata:
- Günther, Albert C. L. G. 1860. "On new reptiles and fishes from Mexico". Proceedings of the Zoological Society of London. 27(1860), pp:316-319 (ffm00026)
- Heros parma Günther, 1862, with type locality at Mexico and Guatemala. Determiner: Paepke et al., 2014
- Cichlosoma gadovii Regan, 1905, with type locality at Motozorongo, Mexico. Determiner: Conkel, 1993
- Cichlosoma sexfasciatum Regan, 1905, with type locality at Mexico. Determiner: Conkel, 1993
Conservation: Vieja fenestrata is evaluated by the international union for the conservation of nature in the iucn red list of threatened species as (LC) least concern (2018). Given the very large range of Vieja fenestrata and the relative stability of many of the locales where it dwells, there is currently little concern about the future of this species.